Affect in the Mathematical Mind

2020 ◽  
pp. 171-194
Author(s):  
Wolff-Michael Roth
Keyword(s):  
Mathematical Mind

The visual number world: A dynamic approach to study the mathematical mind

2018 ◽  
Vol 71 (1) ◽  
pp. 28-36 ◽  
Author(s):  
Matthias Hartmann ◽  
Jochen Laubrock ◽  
Martin H Fischer
Keyword(s):  
Numerical Cognition ◽  
Mental Arithmetic ◽  
Simultaneous Presentation ◽  
Language Research ◽  
On Line ◽  
Arithmetic Performance ◽  
Mathematical Mind ◽  
The Mind ◽  
Visual Number

In the domain of language research, the simultaneous presentation of a visual scene and its auditory description (i.e., the visual world paradigm) has been used to reveal the timing of mental mechanisms. Here we apply this rationale to the domain of numerical cognition in order to explore the differences between fast and slow arithmetic performance, and to further study the role of spatial-numerical associations during mental arithmetic. We presented 30 healthy adults simultaneously with visual displays containing four numbers and with auditory addition and subtraction problems. Analysis of eye movements revealed that participants look spontaneously at the numbers they currently process (operands, solution). Faster performance was characterized by shorter latencies prior to fixating the relevant numbers and fewer revisits to the first operand while computing the solution. These signatures of superior task performance were more pronounced for addition and visual numbers arranged in ascending order, and for subtraction and numbers arranged in descending order (compared to the opposite pairings). Our results show that the “visual number world”-paradigm provides on-line access to the mind during mental arithmetic, is able to capture variability in arithmetic performance, and is sensitive to visual layout manipulations that are otherwise not reflected in response time measurements.

scholarly journals Practal — Practical Logic: A Bicycle for Your Mathematical Mind

2021 ◽  
Author(s):  
Steven Obua
Keyword(s):  
Theorem Proving ◽  
Interactive Theorem Proving ◽  
Mathematical Mind ◽  
Practical Logic

This is a first sketch of the design of Practal, an interactive theorem proving system for practical logic.

Rational Errors and the Mathematical Mind

1998 ◽  
Vol 2 (4) ◽  
pp. 366-383 ◽  
Author(s):  
Talia Ben-Zeev
Keyword(s):  
Mathematical Mind

Mathematical mind-benders

2008 ◽  
Vol 45 (09) ◽  
pp. 45-5047-45-5047
Keyword(s):  
Mathematical Mind

Numerical and Arithmetic Abilities in Non-primate Species

2014 ◽  
Author(s):  
Christian Agrillo
Keyword(s):  
Comparative Literature ◽  
Cognitive Abilities ◽  
Animal Species ◽  
Primate Species ◽  
Numerical Abilities ◽  
Current State ◽  
Extensive Training ◽  
Mathematical Mind ◽  
The Relationship

In the last decade, several studies have suggested that dozens of animal species are capable of processing numerical information. Animals as diverse as mammals, birds, amphibians, fish, and even some invertebrates have been successfully investigated through extensive training and the observation of spontaneous behaviour, providing evidence that numerical abilities are not limited to primates. The study of non-primate species represents a useful tool to broaden our comprehension of the uniqueness of our cognitive abilities, particularly with regard to the evolutionary roots of the mathematical mind. In this chapter, I will summarize the current state of our understanding of non-primate numerical abilities in the comparative literature, focusing on three main topics: the relationship between discrete (numerical) and continuous quantity, the debate surrounding the existence of a precise subitizing-like process, and the ontogeny of numerical abilities.

The Edinburgh Mathematical Colloquium

1913 ◽  
Vol 7 (107) ◽  
pp. 165-167 ◽  
Author(s):  
C. G. Knott
Keyword(s):  
Mathematical Society ◽  
Great Success ◽  
Methods Of Calculation ◽  
Mathematical Thought ◽  
University Of Edinburgh ◽  
Mathematical Laboratory ◽  
Mathematical Mind ◽  
The University

THE first Mathematical Colloquium held in Edinburgh met during the first week of August, and proved a great success. It was organised by the office-bearers of the Edinburgh Mathematical Society, A. G. Burgess, M.A., F.R.S.E., and Peter Comrie, M.A., B.Sc, F.R.S.E., respectively the President and Secretary of that Society, being also President and Secretary of the Colloquium. The idea of holding such a colloquium was an outcome of Professor Whittaker’s announcement that he purposed organising, as part of the Mathematical Honours curriculum in the University of Edinburgh, a mathematical laboratory for systematic numerical discussion of functions and methods of calculation. Several correspondents had expressed the hope that vacation courses in this line of study might be established; and it was decided to make a first experiment. It was resolved, however, not to limit the colloquium to a discussion of one branch of mathematics, but to enlarge its scope by the inclusion of two other domains of mathematical thought. The broad features of the programme we owe to Professor Whittaker; and its variety was such as to appeal to all types of mathematical mind.

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